Q. 874.3( 6 Votes )

# The sum of squares of first n natural numbers is given by or Find the sum of squares of the first 10 natural numbers.

Answer :

put n = 10 in any one of the equation

= 385

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If = 2x + 3, x + 7 and = x – 3, then find the value of :

i.

ii.

NCERT - Exemplar MathematicsFind the values of the following polynomials at a = – 2 and b = 3:

(a) a^{2} + 2ab + b^{2}

(b) a^{2} – 2ab + b^{2}

(c) a^{3} + 3a^{2}b + 3ab^{2} + b^{3}

(d) a^{3} – 3a^{2}b + 3ab^{2} – b^{3}

(e)

(f)

(g)

(h) a^{2} + b^{2} – ab – b^{2} – a^{2}

When a=0, b=-1 find the value of the given expressions:

(i) 2a + 2b

(ii) 2a^{2} + b^{2}+1

(iii) 2a^{2}b + 2ab^{2} + ab

(iv) a^{2} + ab +2

If m = 2, find the value of :

(i) m – 2

(ii) 3m – 5

(iii) 9 – 5m

(iv) 3m^{2} - 2m - 7

(v)

NCERT MathematicsIf p = -10, find the value of p^{2} – 2p – 100

What should be the value of a if the value of 2x^{2} + x - a equals to 5, when x = 0?

Find the values of the following expressions when x=-1:

(i) 2x - 7

(ii) -x + 2

(iii) x^{2} + 2x +1

(iv) 2x^{2}- x -2

If z = 10, find the value of z^{3} – 3(z – 10)